Integrated Review Worksheets for Introductory Algebra

• Index of Activities
• Index of Animations
• Preface
• Index of Applications
• Just-in-Time Review
  1. All Factors of a Number
  2. Prime Factorizations
  3. Greatest Common Factor
  4. Least Common Multiple
  5. Equivalent Expressions and Fraction Notation
  6. Mixed Numerals
  7. Simplify Fraction Notation
  8. Multiply and Divide Fraction Notation
  9. Add and Subtract Fraction Notation
  10. Convert from Decimal Notation to Fraction Notation
  11. Add and Subtract Decimal Notation
  12. Multiply and Divide Decimal Notation
  13. Convert from Fraction Notation to Decimal Notation
  14. Rounding with Decimal Notation
  15. Convert Between Percent Notation and Decimal Notation
  16. Convert Between Percent Notation and Fraction Notation
  17. Exponential Notation
  18. Order of Operations

1. Introduction to Real Numbers and Algebraic Expressions
   • 1.1 Introduction to Algebra
   • 1.2 The Real Numbers
   • 1.3 Addition of Real Numbers
   • 1.4 Subtraction of Real Numbers
     • Mid-Chapter Review
   • 1.5 Multiplication of Real Numbers
   • 1.6 Division of Real Numbers
   • 1.7 Properties of Real Numbers
   • 1.8 Simplifying Expressions; Order of Operations
   • Summary and Review
   • Test
2. Solving Equations and Inequalities
   • 2.1 Solving Equations: The Addition Principle
   • 2.2 Solving Equations: The Multiplication Principle
   • 2.3 Using the Principles Together
   • 2.4 Formulas
     • Mid-Chapter Review
   • 2.5 Applications of Percent
   • 2.6 Applications and Problem Solving
     • Translating for Success
   • 2.7 Solving Inequalities
   • 2.8 Applications and Problem Solving with Inequalities
   • Summary and Review
   • Test
   • Cumulative Review
3. Graphs of Linear Equations
   • 3.1 Graphs and Applications of Linear Equations
   • 3.2 More with Graphing and Intercepts
     • Visualizing for Success
   • 3.3 Slope and Applications
   • 3.4 Equations of Lines
     • Mid-Chapter Review
   • 3.5 Graphing Using the Slope and y-Intercept
   • 3.6 Parallel Lines and Perpendicular Lines
   • 3.7 Graphing Inequalities in Two Variables
   • Visualizing for Success
   • Summary and Review
   • Test
   • Cumulative Review
4. Polynomials: Operations
   • 4.1 Integers as Exponents
   • 4.2 Exponents and Scientific Notation
   • 4.3 Introduction to Polynomials
   • 4.4 Addition and Subtraction of Polynomials
     • Mid-Chapter Review
   • 4.5 Multiplication of Polynomials
   • 4.6 Special Products
     • Visualizing for Success
   • 4.7 Operations with Polynomials in Several Variables
   • 4.8 Division of Polynomials
   • Summary and Review
   • Test
   • Cumulative Review
5. Polynomials: Factoring
   • 5.1 Introduction to Factoring
   • 5.2 Factoring Trinomials of the Type x² + bx + c
   • 5.3 Factoring ax² + bx + c, a ≠ 1: The FOIL Method
   • 5.4 Factoring ax² + bx + c, a ≠ 1: The ac-Method
     • Mid-Chapter Review
   • 5.5 Factoring Trinomial Squares and Differences of Squares
   • 5.6 Factoring: A General Strategy
   • 5.7 Solving Quadratic Equations by Factoring
   • 5.8 Applications of Quadratic Equations
   • Translating For Success
   • Summary and Review
   • Test
   • Cumulative Review
6. Rational Expressions and Equations
   • 6.1 Multiplying and Simplifying Rational Expressions
   • 6.2 Division and Reciprocals
   • 6.3 Least Common Multiples and Denominators
   • 6.4 Adding Rational Expressions
   • 6.5 Subtracting Rational Expressions
     • Mid-Chapter Review
   • 6.6 Complex Rational Expressions
   • 6.7 Solving Rational Equations
   • 6.8 Applications Using Rational Equations and Proportions
     • Translating for Success
   • 6.9 Direct Variation and Inverse Variation
   • Summary and Review
   • Test
   • Cumulative Review
7. Systems of Equations
   • 7.1 Systems of Equations in Two Variables
   • 7.2 The Substitution Method
   • 7.3 The Elimination Method
     • Mid-Chapter Review
   • 7.4 Applications and Problem Solving
   • 7.5 Applications with Motion
   • Translating for Success
   • Summary and Review
   • Test
   • Cumulative Review
8. Radical Expressions and Equations
   • 8.1 Introduction to Radical Expressions
   • 8.2 Multiplying and Simplifying with Radical Expressions
   • 8.3 Quotients Involving Radical Expressions
     • Mid-Chapter Review
   • 8.4 Addition, Subtraction, and More Multiplication
   • 8.5 Radical Equations
   • 8.6 Applications with Right Triangles
   • Translating for Success
   • Summary and Review
   • Test
   • Cumulative Review
9. Quadratic Equations
   • 9.1 Introduction to Quadratic Equations
   • 9.2 Solving Quadratic Equations by Completing the Square
   • 9.3 The Quadratic Formula
     • Mid-Chapter Review
   • 9.4 Formulas
   • 9.5 Applications and Problem Solving
     • Translating for Success
   • 9.6 Graphs of Quadratic Equations
     • Visualizing for Success
   • 9.7 Functions
   • Summary and Review
   • Test
   • Cumulative Review

APPENDICES

• A. Factoring Sums or Differences of Cubes
• B. Finding Equations of Lines: Point—Slope Equation
• C. Higher Roots
• D. Sets
• E. Mean, Median, and Mode
• F. Inequalities and Interval Notation

• Answers
• Guided Solutions
• Glossary
• Index